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MrMuchimi
3 years ago
6

Write an algebraic expression for the following verbal description. Use n for your variable.

Mathematics
2 answers:
alexira [117]3 years ago
7 0

Answer:4/n- 8 or n/4 -8

Step-by-step explanation:decreased means subtract .

nekit [7.7K]3 years ago
5 0

Answer:

(4 ÷ n) - 8

Step-by-step explanation:

Quotient means division.

Decreased means subtraction.

Therefore, the expression would be (4 ÷ n) - 8.

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What is the volume of a hemisphere with a radius of 3.8in, rounded to the nearest tenth of a cubic inch
Pavel [41]

Answer: 114.9\ in.^3

Step-by-step explanation:

Given

The radius of the hemisphere is r=3.8\ in.

The volume of a hemisphere is given by

V=\dfrac{2}{3}\pi r^3

Insert the value

V=\dfrac{2}{3}\pi \times (3.8)^3\\\\V=114.9\ in.^3

7 0
3 years ago
Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability t
erma4kov [3.2K]
To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, \dfrac14. In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is \dfrac14\cdot\dfrac14=\dfrac1{16}.
4 0
3 years ago
Read 2 more answers
Which equation best represents the line of best fit for the scatterplot?
Masja [62]

Answer:

The line of best fit would be the line in between all the points in the scatter plot that is the closest to having an equal amount of dots on each side.

If there isn't one with the exact number, pick the one that is the <em>very closest</em>.

8 0
3 years ago
I have a figure with the shaded region in the middle
stealth61 [152]

Answer:

Step-by-step explanation:

hmmmmmmmmmm

6 0
3 years ago
Sample Work Help Needed! Please answer these questions and show the steps used to solve them. NO DECIMAL ANSWERS (except on thre
anygoal [31]

1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

\left(-2x^3y^4\right)\left(5x^9y^{-2}\right)=(-2)(5)\left(x^{(3+9)}y^{(4-2)}\right)\\\\=-10x^{12}y^{2}

Simplify. Write in Scientific Notation

2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

8 \left(32\times 10^{11}\right)=(8)(32)\times 10^{11}=256\times 10^{11}=2.56\times 10^{13}

3. The distributive property is useful for this.

(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)

... = 15x² +12x – 5x –4

... = 15x² +7x -4

4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.

-24 = -1×24 = -2×12 = -3×8 = -4×6

The last pair of factors adds to give 2. Now we can write

... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives

... (2x -1)(4x +3) . . . . . the factorization you require

8 0
3 years ago
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